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ExpectedTime()
- Returns expected hitting time from state i to state j
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HigherOrderMarkovChain-class
- Higher order Markov Chains class
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absorptionProbabilities()
- Absorption probabilities
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aggregateStates()
- Aggregate a Markov chain's state space by Kullback-Leibler minimization
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assessIndependence()
- Test independence of consecutive states of an empirical sequence
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autoLump()
- Automatically aggregate a Markov chain by spectral clustering
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autoplot.markovchain()
- Plot a Markov chain with ggplot2
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birthDeath()
- Build a birth-death Markov chain
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blanden
- Mobility between income quartiles
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closestReversible()
- Closest reversible approximation of a Markov chain
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committorAB()
- Calculates committor of a markovchain object with respect to set A, B
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conditionalDistribution()
conditionalDistribution of a Markov Chain
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craigsendi
- CD4 cells counts on HIV Infects between zero and six month
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ctmc-class dim,ctmc-method initialize,ctmc_method states,ctmc-method steadyStates,ctmc-method plot,ctmc,missing-method
- Continuous time Markov Chains class
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ctmcFit()
- Function to fit a CTMC
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dirichletChain()
- Markov chain from a Dirichlet process
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entropyRate()
- Entropy rate of a Markov chain
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expectedRewards()
- Expected Rewards for a markovchain
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expectedRewardsBeforeHittingA()
- Expected first passage Rewards for a set of states in a markovchain
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firstPassage()
- First passage across states
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firstPassageMultiple()
- function to calculate first passage probabilities
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fitHighOrderMultivarMC()
- Function to fit Higher Order Multivariate Markov chain
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fitHigherOrder() seq2freqProb() seq2matHigh()
- Functions to fit a higher order Markov chain
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fitMTD()
- Fit a mixture transition distribution (MTD) model
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freq2Generator()
- Returns a generator matrix corresponding to frequency matrix
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fundamentalMatrix()
- Fundamental matrix of an absorbing Markov chain
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gamblersRuin()
- Build a gambler's ruin Markov chain
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generatorToTransitionMatrix()
- Function to obtain the transition matrix from the generator
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name()
- Method to retrieve name of markovchain object
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higherOrderLogLik()
- Log-likelihood, deviance and information criteria of a higher order Markov chain
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higherOrderPredict() higherOrderSimulate()
- Next-state probabilities and simulation for higher order Markov chains
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hittingProbabilities()
- Hitting probabilities for markovchain
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holson
- Holson data set
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hommc
- An S4 class for representing High Order Multivariate Markovchain (HOMMC)
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show(<hommc>)
- Function to display the details of hommc object
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ictmc-class ictmc
- An S4 class for representing Imprecise Continuous Time Markovchains
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identityChain()
- Identity Markov chain
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impliedTimescales()
- Implied timescales of a Markov chain
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impreciseProbabilityatT()
- Calculating full conditional probability using lower rate transition matrix
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inferHyperparam()
- Function to infer the hyperparameters for Bayesian inference from an a priori matrix or a data set
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is.CTMCirreducible()
- Check if CTMC is irreducible
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is.TimeReversible()
- checks if ctmc object is time reversible
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is.accessible()
- Verify if a state j is reachable from state i.
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is.irreducible()
- Function to check if a Markov chain is irreducible (i.e. ergodic)
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is.lumpable()
- Check exact lumpability of a Markov chain
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is.regular()
- Check if a DTMC is regular
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is.reversible()
- Check whether a Markov chain is reversible
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is.stochasticallyMonotone()
- Check if a Markov chain is stochastically monotone
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kemenyConstant()
- Kemeny's constant of a Markov chain
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kullback
- Example from Kullback and Kupperman Tests for Contingency Tables
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lazyChain()
- Build a lazy version of a Markov chain
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lump()
- Aggregate a Markov chain over a partition
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markovchain-class *,markovchain,markovchain-method *,markovchain,matrix-method *,markovchain,numeric-method *,matrix,markovchain-method *,numeric,markovchain-method ==,markovchain,markovchain-method !=,markovchain,markovchain-method absorbingStates,markovchain-method transientStates,markovchain-method recurrentStates,markovchain-method transientClasses,markovchain-method recurrentClasses,markovchain-method communicatingClasses,markovchain-method steadyStates,markovchain-method meanNumVisits,markovchain-method is.regular,markovchain-method is.irreducible,markovchain-method is.accessible,markovchain,character,character-method is.accessible,markovchain,missing,missing-method absorptionProbabilities,markovchain-method meanFirstPassageTime,markovchain,character-method meanFirstPassageTime,markovchain,missing-method meanAbsorptionTime,markovchain-method meanRecurrenceTime,markovchain-method conditionalDistribution,markovchain-method hittingProbabilities,markovchain-method canonicForm,markovchain-method coerce,data.frame,markovchain-method coerce,markovchain,data.frame-method coerce,table,markovchain-method coerce,markovchain,igraph-method coerce,markovchain,matrix-method coerce,markovchain,sparseMatrix-method coerce,sparseMatrix,markovchain-method coerce,matrix,markovchain-method coerce,Matrix,markovchain-method coerce,msm,markovchain-method coerce,msm.est,markovchain-method coerce,etm,markovchain-method dim,markovchain-method initialize,markovchain-method names<-,markovchain-method plot,markovchain,missing-method predict,markovchain-method print,markovchain-method show,markovchain-method summary,markovchain-method sort,markovchain-method t,markovchain-method [,markovchain,ANY,ANY,ANY-method ^,markovchain,numeric-method
- Markov Chain class
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markovchain markovchain-package
- Easy Handling Discrete Time Markov Chains
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.markovchainFitRcpp() createSequenceMatrix() markovchainFit()
- Function to fit a discrete Markov chain
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markovchainList-class [[,markovchainList-method dim,markovchainList-method predict,markovchainList-method print,markovchainList-method show,markovchainList-method
- Non homogeneus discrete time Markov Chains class
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markovchainListFit()
- markovchainListFit
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markovchainSequence()
- Function to generate a sequence of states from homogeneous Markov chains.
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meanAbsorptionTime()
- Mean absorption time
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meanFirstPassageTime()
- Mean First Passage Time for irreducible Markov chains
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meanNumVisits()
- Mean num of visits for markovchain, starting at each state
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meanRecurrenceTime()
- Mean recurrence time
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mergeWith()
- Merge two Markov chains by convex combination of their transition matrices
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mixingTime()
- Mixing time of a Markov chain
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multinomialConfidenceIntervals()
- A function to compute multinomial confidence intervals of DTMC
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names(<markovchain>)
- Returns the states for a Markov chain object
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noofVisitsDist()
- Expected fraction of the first N steps spent in each state
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normalizedEntropyRate()
- Normalized entropy rate of a Markov chain
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ones()
- Returns an Identity matrix
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populationGeneticsModel()
- Build a population-genetics Markov chain (Moran or Wright-Fisher)
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predictHommc()
- Simulate a higher order multivariate markovchain
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predictiveDistribution()
- predictiveDistribution
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preproglucacon
- Preprogluccacon DNA protein bases sequences
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priorDistribution()
- priorDistribution
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probabilityatT()
- Calculating probability from a ctmc object
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rain
- Alofi island daily rainfall
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randomMarkovChain()
- Random Markov chain
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rctmc()
- rctmc
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redistribute()
- Evolution of a distribution over time
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relaxationTime()
- Relaxation time of a Markov chain
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rmarkovchain()
- Function to generate a sequence of states from homogeneous or non-homogeneous Markov chains.
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rouwenhorst()
- Discretize an AR(1) process into a Markov chain (Rouwenhorst's method)
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sales
- Sales Demand Sequences
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selectOrder()
- Select the order of a Markov chain by information criteria
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sensitivity()
- Sensitivity of the stationary distribution to a state's transition row
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`name<-`()
- Method to set name of markovchain object
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slem()
- Second largest eigenvalue modulus (SLEM) of a Markov chain
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spectralGap()
- Spectral gap of a Markov chain
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states()
- Defined states of a transition matrix
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verifyMarkovProperty() assessOrder() verifyEmpiricalToTheoretical() verifyHomogeneity() assessStationarity()
- Test the first-order Markov property of an empirical sequence
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steadyStates()
- Stationary states of a
markovchain object
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period() communicatingClasses() recurrentClasses() transientClasses() transientStates() recurrentStates() absorbingStates() canonicForm()
- Various function to perform structural analysis of DTMC
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subchain()
- Restrict a Markov chain to a subset of states
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tauchen()
- Discretize an AR(1) process into a Markov chain (Tauchen's method)
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timeCorrelations() timeRelaxations()
- Time correlations and time relaxations of observed sequences
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tm_abs
- Single Year Corporate Credit Rating Transititions
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toBoundedChain()
- Apply a boundary condition to a Markov chain's first and last state
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toDictionary() fromDictionary()
- Represent a Markov chain as a plain R list
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toDot() toMermaid()
- Export the transition graph as Graphviz DOT or Mermaid text
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toFile() fromFile()
- Write or read a Markov chain to or from a file
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toNthOrder()
- Return the n-step transition chain
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topologicalEntropy()
- Topological entropy of a Markov chain
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transition2Generator()
- Return the generator matrix for a corresponding transition matrix
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transitionProbability()
- Function to get the transition probabilities from initial to subsequent states.
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urnModel()
- Build an Ehrenfest urn model Markov chain
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zeros()
- Matrix to create zeros